Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
380 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13093149 | C2 | semidirect |
| 2. #13092803 | C2 | semidirect |
| 3. #13092641 | C2 | semidirect |
| 4. #13092629 | C2 | semidirect |
| 5. #13092610 | C2 | semidirect |
| 6. #13092547 | C2 | semidirect |
| 7. #13092518 | C2 | semidirect |
| 8. C4×D184 | C2 | semidirect |
| 9. C23×#495 | C2 | semidirect |
| 106. #495 | D23 | semidirect |
| 143. C23 | #3403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093149 | 2 |
| #13092803 | 2 |
| #13092641 | 2 |
| #13092629 | 2 |
| #13092610 | 2 |
| #13092547 | 2 |
| #13092518 | 2 |
| C4×D184 | 2 |
| C23×#495 | 2 |
| #3403 | 23 |